A bar of unknown material is subjected to an axial tension load P. The bar, having...
A bar of unknown material is subjected to an axial tension load P. The bar, having initial dimensions L = 500 mm and a = b = 25 mm, is observed to elongate by 20 mm. Further, it is observed that the volume of the bar increases by 600 mm3. The bulk modulus of the material is measured at 20,000 MPa. Assuming that the material is isotropic, homogeneous and linear elastic, determine the magnitude of the load P in [kN] unit.
Homework Answers
answer #1 looks good but the volume is wrong in that calculation....
25x25x500= 312500 not 31250
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A bar of unknown material is subjected to an axial tension load
P. The bar, having...
The rigid bar shown is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has...
The rigid bar shown is supported by axial bar (1) and by a pin
connection at C. Axial bar (1) has a cross-sectional area
of A1 = 250 mm2, an elastic modulus
of E = 200 GPa, and a coefficient of thermal expansion of
α= 11.3 × 10-6/°C. The pin at C has a diameter
of 40 mm. After load P has been applied and the
temperature of the entire assembly has been increased by 10°C, the
total strain in...
Under an applied axial load of 3,806 kN, the diameter of a bar decreases by 0.23...
Under an applied axial load of 3,806 kN, the diameter of a bar decreases by 0.23 mm from an original diameter of 149 mm. Poisson's ratio for the bar is v= 0.37. Determine the elastic modulus of the bar. Give your answer in GPa.
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the ver...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
bar having a length of 5 in and cross-secional area of 0 6 n is subjected...
bar having a length of 5 in and cross-secional area of 0 6 n is subjected to an axial force of 8000 lb Part A If the bar stretches 0 0030 in determine the modulus of elasticity of the material. The material has linear-elastic behavior (Figure 1) gure 1 of1 ksi Submit Request Answ Provide Feedback 8000 lb 8000 lb 5 in.
Q1. A circular rod of 12 mm diameter was tested for tension. The total elongation on...
Q1. A circular rod of 12 mm diameter was tested for tension. The total elongation on a 300 mm length was 0.22 mm under a tensile load of 17 KN. Find the value of E. (2.5 Marks) Answer: Q2. A prismatic bar has a cross section of 25 mm x 50 mm and a length of 2m under an axial force of 90 KN. The measured elongation of the bar is 1.5 mm. Compute the tensile stress and strain in...
question 6 of 25 mm is pulled in tension with a 44,500 N force producing only...
question 6
of 25 mm is pulled in tension with a 44,500 N force producing only elastic detormation . What is oreonding strain and the length between the gage marks when subjected to this force? Given: elastic modulus of copper is 105 GPa. 5. A 10-mm diameter bar of 1040 carbon steel is subjected to a tensile load of 50,000 N, taking it beyond its yield point. Calculate the elastic recov removal of the tensile load. Given: elastic modulus of...
A bar ABCD with varying cross section and subjected to axial loads is shown schematically in...
A bar ABCD with varying cross section and subjected to axial loads is shown schematically in Figure Q3. Take modulus of elasticity of bar as 202 GPa. The length of each section L1 = 111 mm; L2 = 205 mm; and L3 = 451 mm. The cross sectional dimensions are as follows: Section 1 is square with side 49 mm, Section 2 is circular with diameter 79 mm and Section 3 is circular with diameter 32 mm. The forces are...
(20%) Question 6. The elastic modulus, yield strength and ultimate strength of a certain material afe...
(20%) Question 6. The elastic modulus, yield strength and ultimate strength of a certain material afe 110 GPa 2400 MPa and 265 MPal respectively. If a cylindrical bar of this material 380 mm long is subjected to a uniaxial tension test and its length is increased by an amount áf O.50 mm under a tensile load ót 6660 N.At the same time its diameter decreased by0,28 mm Calculate; a) The initial diameter of the bar, (8%) d b) Under an...
Two samples made from a material with elastic modulus E 200 GPa are subjected to four...
Two samples made from a material with elastic modulus E 200 GPa are subjected to four loading conditions by applying a force F 20 kN. The first sample is a solid circular bar with a 4 cm diameter. The second sample is another circular 4 cm bar, but with a 3 cm diameter hole bored down the centerline. The undeformed (original) length of both samples is Lo 80 cm ne any stresses are below the elastic limit for the material....
An aluminum bar 200 mm long and having a square cross section 20.0 mm on an...
An aluminum bar 200 mm long and having a square cross section 20.0 mm on an edge is pulled in tension with a load of 55, 600 N and experiences an elongation of 0.395 mm. Assuming that the deformation is entirely elastic, calculate the modulus of elasticity of the aluminum.
The rigid bar shown is supported by axial bar (1) and by a pin
connection at C. Axial bar (1) has a cross-sectional area
of A1 = 250 mm2, an elastic modulus
of E = 200 GPa, and a coefficient of thermal expansion of
α= 11.3 × 10-6/°C. The pin at C has a diameter
of 40 mm. After load P has been applied and the
temperature of the entire assembly has been increased by 10°C, the
total strain in...
Under an applied axial load of 3,806 kN, the diameter of a bar decreases by 0.23 mm from an original diameter of 149 mm. Poisson's ratio for the bar is v= 0.37. Determine the elastic modulus of the bar. Give your answer in GPa.
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
bar having a length of 5 in and cross-secional area of 0 6 n is subjected to an axial force of 8000 lb Part A If the bar stretches 0 0030 in determine the modulus of elasticity of the material. The material has linear-elastic behavior (Figure 1) gure 1 of1 ksi Submit Request Answ Provide Feedback 8000 lb 8000 lb 5 in.
Q1. A circular rod of 12 mm diameter was tested for tension. The total elongation on a 300 mm length was 0.22 mm under a tensile load of 17 KN. Find the value of E. (2.5 Marks) Answer: Q2. A prismatic bar has a cross section of 25 mm x 50 mm and a length of 2m under an axial force of 90 KN. The measured elongation of the bar is 1.5 mm. Compute the tensile stress and strain in...
question 6
of 25 mm is pulled in tension with a 44,500 N force producing only elastic detormation . What is oreonding strain and the length between the gage marks when subjected to this force? Given: elastic modulus of copper is 105 GPa. 5. A 10-mm diameter bar of 1040 carbon steel is subjected to a tensile load of 50,000 N, taking it beyond its yield point. Calculate the elastic recov removal of the tensile load. Given: elastic modulus of...
A bar ABCD with varying cross section and subjected to axial loads is shown schematically in Figure Q3. Take modulus of elasticity of bar as 202 GPa. The length of each section L1 = 111 mm; L2 = 205 mm; and L3 = 451 mm. The cross sectional dimensions are as follows: Section 1 is square with side 49 mm, Section 2 is circular with diameter 79 mm and Section 3 is circular with diameter 32 mm. The forces are...
(20%) Question 6. The elastic modulus, yield strength and ultimate strength of a certain material afe 110 GPa 2400 MPa and 265 MPal respectively. If a cylindrical bar of this material 380 mm long is subjected to a uniaxial tension test and its length is increased by an amount áf O.50 mm under a tensile load ót 6660 N.At the same time its diameter decreased by0,28 mm Calculate; a) The initial diameter of the bar, (8%) d b) Under an...
Two samples made from a material with elastic modulus E 200 GPa are subjected to four loading conditions by applying a force F 20 kN. The first sample is a solid circular bar with a 4 cm diameter. The second sample is another circular 4 cm bar, but with a 3 cm diameter hole bored down the centerline. The undeformed (original) length of both samples is Lo 80 cm ne any stresses are below the elastic limit for the material....
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